Gottlieb polynomials

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Gottlieb polynomials are a family of discrete orthogonal polynomials in mathematics. They are defined by a specific formula and satisfy an orthogonality relation with respect to a weight function on a set of discrete points. Like other orthogonal polynomials, they are useful in numerical analysis for tasks such as approximating functions on grids, solving difference equations, and building efficient quadrature rules. The exact form and weight depend on the particular discrete system being studied.